Question

the area of a triangular sign is 42 ft². if the base of the sign measures 14 ft, what is the height of the sign? the height of the sign is □

Explanation:

Step1: Recall area formula

The area formula for a triangle is $A=\frac{1}{2}bh$, where $A$ is the area, $b$ is the base, and $h$ is the height.

Step2: Substitute known values

We know that $A = 42$ square - feet and $b=14$ feet. Substituting into the formula gives $42=\frac{1}{2}\times14\times h$.

Step3: Simplify the equation

First, simplify $\frac{1}{2}\times14 = 7$. So the equation becomes $42 = 7h$.

Step4: Solve for h

Divide both sides of the equation by 7: $h=\frac{42}{7}=6$.

Answer:

6